Microsoft Word Funksiya limit doc

s s

|^{( f (x)} + ^{g (x)) - (L} + ^M ^ = |^{f (x) -} Ц + |^{g (x) - M}| < 2+2 = ^s

o’rinli bo’ladi.

Demak, ta’rifga ko’ra yuqoridagi xossa isbotlandi.

Teorema. Agar ^{lim f (x)} = ^L va ^lim g^(x) = ^M bo’

KETMA-KETLIK * * * FUNKSIYALAR VA ULARNING LIMITI 1

y ^{- f (f _1 (x)) x - f _1 (f (x))} 21

|^{( f (x)} + ^{g (x)) - (L} + ^M ^ = |^{f (x) -} Ц + |^{g (x) - M}| < 2+2 = ^s 83

1Ta’rif 2. g(x) funksiya (b,a) oraliqda aniqlangan bo’lsin. Agar ixtiyoriy s > 0 uchun shunday 8₂ > 0 son topish mumkin bo’lsaki, -8₂ < x - a < 0